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Finding the Fourth Proportional to 6,801.74, 9,384.80 and 3,967.41

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Solution

The fourth proportional to 6,801.74, 9,384.80 and 3,967.41 is: 5,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.74 : 9,384.80 = 3,967.41 : x
  2. Step 2: Convert to fraction form
    6,801.74/9,384.80 = 3,967.41/x
  3. Step 3: Cross multiply
    6,801.74x = 9,384.80 × 3,967.41
  4. Step 4: Simplify right side
    6,801.74x = 37,233,329.53
  5. Step 5: Solve for x
    x = 37,233,329.53/6,801.74
  6. Step 6: Final answer
    x = 5,474.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.